Yu. I. Ingster

activity

20092013

most citedDetection of a sparse submatrix of a high-dimensional noisy matrix

122 citations · 165 across the 7 of their papers we have counts for

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Showing 2011Show all

2 papers · 1 filter

math.ST2011★ 122 cited

Detection of a sparse submatrix of a high-dimensional noisy matrix

Cristina Butucea, Yuri I. Ingster

We observe a $N \times M$ matrix $Y_{ij} = s_{ij} + ξ_{ij}$ with $ξ_{ij} \sim N (0, 1)$ i.i.d. in $i, j$ , and $s_{ij} \in R$ . We test the null hypothesis $s_{ij} = 0$ fo…

math.ST2011★ 1 cited

Minimax nonparametric testing in a problem related to the Radon transform

Yuri I. Ingster, Theofanis Sapatinas, Irina A. Suslina

We consider the detection problem of a two-dimensional function from noisy observations of its integrals over lines. We study both rate and sharp asymptotics for the error probabil…